The $ÏÏ$ Final State Interaction in $K\toÏÏ$, $pp\to ppÏÏ$ and Related Processes

M. P. Locher; V. E. Markushin; H. Q. Zheng

doi:10.1103/PhysRevD.55.2894

paper

The $I ¨ I ¨ $ Final State Interaction in $K \to I ¨ I ¨ $ , $pp \to pp I ¨ I ¨ $ and Related Processes

arXiv:hep-ph/9604310 · doi:10.1103/PhysRevD.55.2894

Abstract

Final state interactions in the $S$ --wave $I ¨ I ¨ $ system (I=0,2) are re-examined on the basis of the OmnÃ¨s-Mus\-khe\-li\-shvili equation and the coupled channel formalism. The contributions to the pion scalar form factor from $I ¨ $ and $f_{2} (1270)$ exchange in the $t$ --channel and from the $f_{0} (980)$ $s$ --channel resonance are separately evaluated and the role of the nontrivial polynomial in the OmnÃ¨s function in a coupled channel situation is elucidated. Applications are made to $K \to I ¨ I ¨ $ and $pp \to pp I ¨ I ¨ $ . It is found that the contribution from the $f_{0}$ resonance to the form-factor is strongly reduced by a nearby zero.

PACS numbers: 13.75.Lb, 13.25.Es, 13.25.+m, 15 pages in plain latex with epsf.sty, 10 figures

The I¨I¨ Final State Interaction in K→I¨I¨, pp→ppI¨I¨ and Related Processes

Abstract

The $I ¨ I ¨ $ Final State Interaction in $K \to I ¨ I ¨ $ , $pp \to pp I ¨ I ¨ $ and Related Processes